In the SP model, the mass of \(\chi _{c1}(3P)\)  is predicted to be \(\sim 4.19\)  MeV. Thus, the charmonium-like state \(X(4140)\)  can be a candidate for
the \(\chi _{c1}(3P)\)  state. In this scenario its total width is found to be \(\sim 14\)  MeV, which is in agreement with the world average data \(19^{+8}_{-7}\)  MeV [1]}. If \(X(4140)\)  corresponds to the \(\chi _{c1}(3P)\)  indeed, it may mainly decay into \(DD^*\) , \(D^*D^*\)  and \(D_sD^*_s\)  channels with comparable decay rates. The partial width ratios between these decay modes are predicted to be
\(\frac{\Gamma (DD^*)}{\Gamma (D^*D^*)}\simeq 0.69, ~ \frac{\Gamma (D_sD_s^*)}{\Gamma (D^*D^*)}\simeq 0.40,\) 
